Search a number
-
+
90117496 = 23723313761
BaseRepresentation
bin1010101111100…
…01010101111000
320021120102222001
411113301111320
5141032224441
612535310344
72142662140
oct527612570
9207512861
1090117496
1146961677
122621b3b4
1315893581
14bd7b920
157da1731
hex55f1578

90117496 has 128 divisors (see below), whose sum is σ = 217128960. Its totient is φ = 34214400.

The previous prime is 90117491. The next prime is 90117497. The reversal of 90117496 is 69471109.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90117491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1477306 + ... + 1477366.

It is an arithmetic number, because the mean of its divisors is an integer number (1696320).

Almost surely, 290117496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90117496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108564480).

90117496 is an abundant number, since it is smaller than the sum of its proper divisors (127011464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90117496 is a wasteful number, since it uses less digits than its factorization.

90117496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 90117496 is about 9493.0235436346. The cubic root of 90117496 is about 448.3354073077.

The spelling of 90117496 in words is "ninety million, one hundred seventeen thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 23 28 31 37 46 56 61 62 74 92 122 124 148 161 184 217 244 248 259 296 322 427 434 488 518 644 713 851 854 868 1036 1147 1288 1403 1426 1702 1708 1736 1891 2072 2257 2294 2806 2852 3404 3416 3782 4514 4588 4991 5612 5704 5957 6808 7564 8029 9028 9176 9821 9982 11224 11914 13237 15128 15799 16058 18056 19642 19964 23828 26381 26474 31598 32116 39284 39928 43493 47656 51911 52762 52948 63196 64232 69967 78568 86986 103822 105524 105896 126392 139934 173972 184667 207644 211048 279868 304451 347944 363377 369334 415288 489769 559736 608902 726754 738668 979538 1217804 1453508 1477336 1609241 1959076 2435608 2907016 3218482 3918152 6436964 11264687 12873928 22529374 45058748 90117496